Question

A pilot knows she descended 1,000 feet and traveled a diagonal distance of 18,000 feet.

Answer 1

The horizontal distance covered by pilot is 17,972.2 feet.

Step-by-step explanation:

Given,

Distance covered descending = 1000 feet

Diagonal distance = 18,000 feet

The horizontal distance will form a right triangle, therefore, we can find the horizontal distance by using pythagoras theorem.

Here,

a = 1000

b = horizontal distance

c = 18000

$a^2+b^2=c^2\\(1000)^2+b^2=(18000)^2\\1000000+b^2=324000000\\b^2 = 324000000-1000000\\b^2=323000000$

Taking square root on both sides

$\sqrt{b^2}=\sqrt{323000000}\\b=17972.2$

The horizontal distance covered by pilot is 17,972.2 feet.

Keywords: pyathoras theorem, square root

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